Answer:
(C)61''
Step-by-step explanation:
Aspect ratio =Width: Height
If the TV has an aspect ratio of 16:9
Since the diagonal of the TV is 70 inches
[tex]\frac{Width}{Height}= \frac{16}{9}\\$Therefore:$\\Width= \dfrac{16}{9}Height[/tex]
Using Pythagoras Theorem
[tex]Diagonal^2=Width^2+Height^2\\70^2=Width^2+Height^2[/tex]
[tex]70^2=(\frac{16}{9}Height)^2+Height^2\\4900=\dfrac{256h^2+81h^2}{81} \\256h^2+81h^2=4900 \times 81\\337h^2=396900\\h^2=1177.74\\h=34.32''[/tex]
Therefore:
[tex]Width= \dfrac{16}{9} \times 34.32\\=61''[/tex]
